well-ordered set

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noun Mathematics.

a totally ordered set in which every nonempty subset has a smallest element with the property that there is no element in the subset less than this smallest element.

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Compare partially ordered set, totally ordered set.

Words nearby well-ordered set

wellness, well-nigh, well-off, well-oiled, well-ordered, well-ordered set, well-ordering theorem, well-organized, well-padded, well-paid, well-placed

How to use well-ordered set in a sentence

When cities started adding chlorine to their water supplies, in the early 1900s, it set off public outcry.
Anti-Fluoriders Are The OG Anti-Vaxxers|Michael Schulson|July 27, 2016|DAILY BEAST
The best comparison here for an American audience is, well, Internet stuff.
Trolls and Martyrdom: Je Ne Suis Pas Charlie|Arthur Chu|January 9, 2015|DAILY BEAST
Then add in all bored people, as well as people whose job it is to report on celebrities.
Sia and Shia LaBeouf’s Pedophilia Nontroversy Over ‘Elastic Heart’|Marlow Stern|January 9, 2015|DAILY BEAST
Submission is set in a France seven years from now that is dominated by a Muslim president intent on imposing Islamic law.
Houellebecq’s Incendiary Novel Imagines France With a Muslim President|Pierre Assouline|January 9, 2015|DAILY BEAST

In the last year, her fusion exercise class has attracted a cult following and become de rigueur among the celebrity set.
How Taryn Toomey’s ‘The Class’ Became New York’s Latest Fitness Craze|Lizzie Crocker|January 9, 2015|DAILY BEAST
Mrs. Wurzel was quite right; they had been supplied, regardless of cost, from Messrs. Rochet and Stole's well-known establishment.
The Pit Town Coronet, Volume I (of 3)|Charles James Wills
You would not think it too much to set the whole province in flames so that you could have your way with this wretched child.
St. Martin's Summer|Rafael Sabatini
The big room at King's Warren Parsonage was already fairly well filled.
The Pit Town Coronet, Volume I (of 3)|Charles James Wills
The country is well inhabited, for it contains fifty-one cities, near a hundred walled towns, and a great number of villages.
Gulliver's Travels|Jonathan Swift
I take the Extream Bells, and set down the six Changes on them thus.
Tintinnalogia, or, the Art of Ringing|Richard Duckworth and Fabian Stedman